Questions and Answers
Write the decimal as a fraction.
Write the decimal as a fraction.
Write the decimal as a fraction. Be sure to reduce.
Write the decimal as a fraction.
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Order from least to greatest: 0.2, 4/5, 0.21, 1/4.
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Order from least to greatest: -10, 2, -0.5, 5/8.
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Classify each number as Rational or Irrational:
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Classify each number as Rational or Irrational:
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A rational number can be ____________________________.
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Study Notes
Writing Decimals as Fractions
- Decimals can be converted to fractions by using the place value of the last digit. For example, 0.5 = 5/10, which simplifies to 1/2.
- Ensure fractions are reduced to their simplest form for accuracy.
Comparing Decimals
- Practice comparing decimals by looking at their place values.
- Example comparison: 0.2 versus 0.24, where 0.2 < 0.24.
Comparing Fractions
- To compare fractions, find a common denominator or convert them to decimals.
- Example comparison: 3/8 vs. 1/4 can be assessed by converting both to decimals (3/8 = 0.375, 1/4 = 0.25).
Ordering Numbers
- When ordering mixed numbers (e.g., decimals and fractions), convert all numbers to the same form for effective comparison.
- Example: Order 0.2, 4/5, 0.21, 1/4 from least to greatest.
List of Numbers for Ordering
- Order from least to greatest: -10, 2, -0.5, and 5/8 by converting fractions to decimals where needed.
Classifying Rational and Irrational Numbers
- Rational numbers include fractions and whole numbers that can be expressed as a ratio (e.g., 5/6, 0.23, -5 3/8).
- Irrational numbers are non-repeating, non-terminating decimals (e.g., π, square root of non-perfect squares).
Characteristics of Rational Numbers
- Rational numbers can be described as numbers that can be expressed as a ratio of two integers.
- Rational numbers can be positive or negative and include terminating or repeating decimals.
Quiz Structure and Points
- The quiz contains questions related to decimal conversion, comparison, ordering, and classification of numbers, with varying point allocations for each section.
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Description
Test your understanding of decimal to fraction conversion in this Week 1 quiz for 8th-grade math. The quiz consists of questions that challenge your ability to represent decimals as fractions. Sharpen your math skills and prepare for upcoming assessments.
